Scalar comparison equations in the theory of the stability of motion

DOI10.1007/BF00888173zbMath0608.70024OpenAlexW2070468800MaRDI QIDQ3747792

Anatoly Martynyuk

Publication date: 1985

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00888173

zbMATH Keywords

second Lyapunov methodstability problemsDifferential inequalitiesclassical Lyapunov theoremsscalar comparison equations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Cites Work

• Random differential inequalities
• The method of Ljapunov functions in the stability problem for motion with respect to a part of the variables
• Quantitative analysis of systems: Stability, boundedness, and trajectory behavior
• Sufficient conditions for stability in a finite system with delay
• On Liapounoff's conditions of stability
• Novel development of Lyapunov stability of motion
• On the theory of stability of motion
• On a system of integral inequalities
• Analysis of discontinuous large-scale systems: stability, transient behaviour and trajectory bounds
• Comparison theorems for set stability of differential equations
• A Comparison Lemma for Higher Order Trajectory Derivatives
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